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Title: Lyapunov stability of charge transport in miniband semiconductor superlattices
Authors: Koronovskii, Alexey A.
Hramov, Alexander E.
Maximenko, V.A.
Moskalenko, Olga I.
Alekseev, K.N.
Greenaway, M.T.
Fromhold, T.M.
Balanov, Alexander G.
Issue Date: 2013
Publisher: © American Physical Society
Citation: KORONOVSKII, A.A. ... et al, 2013. Lyapunov stability of charge transport in miniband semiconductor superlattices. Physical Review B, 88 (16), 165304.
Abstract: We discuss a numerical method for the calculation of the spectrum of Lyapunov exponents for spatially extended systems described by coupled Poisson and continuity equations. This approach was applied to the model of collective charge transport in semiconductor superlattices operating in the miniband transport regime. The method is in very good agreement with analytical results obtained for the steady state. As an illustrative example, we consider the collective electron dynamics in the superlattice subjected to an ac voltage and a tilted magnetic field, and conclusively show that, depending on the field parameters, the dynamics can exhibit periodic, quasiperiodic, or chaotic behavior.
Description: This article was published in the journal Physical Review B [© American Physical Society]. It is also available at: http://dx.doi.org/10.1103/PhysRevB.88.165304
Sponsor: This work has been supported by the Ministry of Education and Science of Russian Federation (Projects No. 14.B37.21.0059 and No. 14.B37.21.1207), President Programm (Projects No. MD-345.2013.2 and No. MK– 672.2012.2), Russian Foundation for Basic Research (Project No. 12–02–33071), and the “Dynasty” Foundation.
Version: Published
DOI: 10.1103/PhysRevB.88.165304
URI: https://dspace.lboro.ac.uk/2134/17296
Publisher Link: http://dx.doi.org/10.1103/PhysRevB.88.165304
ISSN: 1098-0121
Appears in Collections:Published Articles (Physics)

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